Erosion Model for Brittle Materials Under Low-Speed Impacts

Abstract

The erosion of perfectly brittle materials under low-speed impacts is studied by the combination of the Hertzian contact theory and the maximum stress criterion. It is found that the fractional erosion per impact is proportional to the product of the square root of the yield strain and the ratio of the kinetic energy per volume of the impacting body to the critical strain energy density of the target. The novel formula is conceptually extended to the erosion of cracked brittle materials.

An expression for wind erosion rate from dry and dense soil surface

“…Considering the perpendicular collision between a rigid sphere and a brittle half-space, the stress field within the half-space is determined by the Hertzian contact theory (Barber, 2018). Whether or not soil breaks at any spatial point can be judged the maximum stress criterion, the eroded volume V per impact is written as (Wang, 2020),…”

“…Considering the perpendicular collision between a rigid sphere and a brittle half‐space, the stress field within the half‐space is determined by the Hertzian contact theory (Barber, 2018). Whether or not soil breaks at any spatial point can be judged the maximum stress criterion, the eroded volume $$$ V $$$ per impact is written as (Wang, 2020), $$$$ V={C}_0\frac{\rho_s{d}^3{v}^2E}{\sigma_c^2}{\left(\frac{\sigma_c}{E}\right)}^{1/2} $$$$ where $$$ {C}_0 $$$ is a constant; $$$ {\rho}_s $$$, $$$ d $$$, $$$ v $$$ are the density, diameter, impact speed of one saltator, respectively; $$$ {\sigma}_c $$$ and $$$ E $$$ are the yield strength and Young's modulus of soil, respectively. Soil aggregation could be eroded or crushed when it strikes with the land surface.…”

Erosion Investigation of Dimple Wall using Erosion-Coupled Dynamic Mesh

“…The study of the movement patterns of solid particles in the liquid–solid two-phase flow field, the mutual impact process between the particles and the heat exchange surface, and the erosion patterns is of great significance to guide the design and operation of the equipment and, consequently, to reduce wear effectively. The studies on the erosion characteristics of liquid–solid two-phase have proliferated, primarily focusing on the particle size, , particle morphology, , particle and target hardness, particle impact angle , and velocity, , temperature, , development of erosion models and numerical simulation frameworks, − etc. In recent years, with the rapid development of computer technology and testing techniques, the study of liquid–solid two-phase erosion characteristics has gradually moved from macroscopic to microscopic.…”

Development of ornamentation on ventifacts: An examination of flow and saltation kinematic mechanisms

“…O'Brien and McKenna Neuman (2019) measured even lower impact speeds, which they assert may be due to the high resolution of their PTV system, allowing them to sample down to a distance only 50 μm above the bed surface. In comparison, Wang (2020) reports that the threshold impact speed required to cause an abrasion event (i.e., a singular impact by the particle on the target rock) is only 0.025 m s −1 and 0.094 m s −1 , for basalt and rhyolite, respectively. This would suggest that abrasion can occur under most saltation conditions.…”